Advances and Applications in Discrete Mathematics
Volume 21, Issue 2, Pages 119 - 137
(July 2019) http://dx.doi.org/10.17654/ |
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SOME BOUNDS ON INVERSE SUM INDEG INDEX OF SOME GRAPH OPERATIONS
Amitav Doley and A. Bharali
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Abstract: The inverse sum indeg (ISI) index of a graph is defined as where du and dv are the degrees of the vertices u and v, respectively. In this paper, we study ISI index of some graph operations viz., k-fold, strong double, extended double cover, tensor, Cartesian, corona, subdivision-vertex corona, subdivision-edge corona, subdivision-vertex-neighborhood corona, subdivision-edge-neighborhood corona. In the study, we establish some exact formulas and some bounds on ISI index of the operations. The extremal cases for the bounds are also discussed. |
Keywords and phrases: degree of vertex, inverse sum indeg index, operations of graphs.
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